334444132440 has 384 divisors, whose sum is σ = 1283554252800. Its totient is φ = 76809150720.

The previous prime is 334444132433. The next prime is 334444132447. The reversal of 334444132440 is 44231444433.

334444132440 is a `hidden beast` number, since 3 + 3 + 44 + 44 + 132 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (334444132433) and next prime (334444132447).

It is a super-2 number, since 2×334444132440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334444132395 and 334444132404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334444132447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4249689 + ... + 4327671.

It is an arithmetic number, because the mean of its divisors is an integer number (3342589200).

Almost surely, 2^334444132440 is an apocalyptic number.

334444132440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334444132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641777126400).

334444132440 is an abundant number, since it is smaller than the sum of its proper divisors (949110120360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334444132440 is a wasteful number, since it uses less digits than its factorization.

334444132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78052 (or 78023 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 334444132440 its reverse (44231444433), we get a palindrome (378675576873).

The spelling of 334444132440 in words is "three hundred thirty-four billion, four hundred forty-four million, one hundred thirty-two thousand, four hundred forty".